{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"640b8dda-d22c-5bfb-aa8d-9f9fcb9a0745","task_key":"test--640b8dda-d22c-5bfb-aa8d-9f9fcb9a0745","task_revision_id":"1","upstream_id":"","short_description":"Find all functions $f : \\mathbb{N} \\rightarrow \\mathbb{N}$ such that the…","config":"","split":"test","body":"{\"problem\":\"Find all functions $f : \\\\mathbb{N} \\\\rightarrow \\\\mathbb{N}$ such that the following conditions are true for every pair of positive integers $(x, y)$:\\n$(i)$: $x$ and $f(x)$ have the same number of positive divisors.\\n$(ii)$: If $x \\\\nmid y$ and $y \\\\nmid x$, then:\\n$$\\\\gcd(f(x), f(y)) > f(\\\\gcd(x, y))$$\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}